Empirical Verification • Qualcomm Snapdragon 870

Continuous Symplectic Phase Spaces & Cache-Local AI Runtimes

Project AFT_Ouroboros investigates non-dissipative recurrent sequence processing, Clifford spinor representations, cellular cohomology memory crystallization, and deterministic execution strictly confined within L2 cache on edge silicon.

Core Research Vectors

Eliminating quadratic attention bottlenecks and memory fragmentation through rigorous mathematical physics and deterministic low-level engineering.

[01] ALGEBRAIC PHYSICS

Symplectic Phase Spaces

Unitary recurrent evolution on hyperspheres S^{D-1} and real projective spaces RP^{D-1}. Non-linear state transitions governed by exact Grassmann-Plücker syzygies and dyadic Zak butterfly reductions.

[02] DISSIPATION-FREE MEMORY

Cellular Knot Crystallization

Hodge-theoretic orthogonal decoupling on simplicial complexes. Dynamic states crystallize into harmonic 1-cycles with zero KV-cache growth, yielding over 342× memory reduction across sequence horizons.

[03] EDGE SILICON VERIFICATION

Cache-Confined Execution

Strict C99 and ARM64 NEON vectorized kernels designed for deterministic execution entirely within L1D/L2 cache (Snapdragon 870 / Kryo 585 Prime) without dynamic memory allocations or DRAM traffic.

Physical Telemetry & Evidentiary Benchmarks

Empirical measurements captured via high-resolution monotonic clocks and CPU-bound affinity on consumer mobile hardware.

Evaluated Property Target Platform Measured Value Epistemic Status
Topological Knot Crystallization Kryo 585 Prime @ 3.19 GHz 7.029 µs / knot MEASURED
Recurrent Training Throughput (D=64) Kryo 585 Prime (L2-Confined) 97,747 tokens/sec MEASURED
Recurrent Training Throughput (D=128) Kryo 585 Prime (L2-Confined) 48,285 tokens/sec MEASURED
Context Length Scaling (L ∈ [64, 16384]) C99 ARM64 NEON Pipeline α = 1.00226 (R² = 0.99999) MEASURED
Zero-KV Memory Compression Multi-scale Knot Storage vs KV ≥ 342× reduction DERIVED
Zero-Copy Checkpoint Mapping Latency Linux mmap / 64-byte aligned 21.41 µs (0 bytes heap) MEASURED

Open Repositories & Artifacts

Reproducible codebases, hardware definitions, and empirical data published under open licenses.

GITHUB REPOSITORY

aft-ouroboros-silicon-benchmarks

Reproducibility suite, anti-DCE benchmarking harnesses, assembly verification, and canonical evidence matrix on consumer silicon.


View repository →
HARDWARE COPROCESSOR

AFT-Ouroboros RISC-V SoC

Open hardware linear sequence coprocessor for resource-constrained RISC-V SoCs defined in SystemVerilog.


View repository →
NUMERICAL FRAMEWORK

ouroboros-ns-snn

Navier-Stokes analytical framework for spiking neural networks with logarithmic number systems (LNS) and Mitchell multiplierless arithmetic.


View repository →

Scientific Inquiries

Direct all technical correspondence, reproducibility inquiries, and collaboration requests to the lead investigator.

Esteban Natanael González

Lead Researcher & Systems Architect • Project AFT_Ouroboros

[email protected]